On The Dynamics Of Solutions Of A Rational Difference Equation Via Generalized Tribonacci Numbers

2019/06/27 by İnci Okumuş, Okumuş, İnci, Yüksel Soykan +1
Mathematics · #39A10 #39A30 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:39A10 #msc:39A30

paper · pdf · doi:10.48550/arxiv.1906.11629

arxiv created 2019/06/27 · arxiv updated 2019/06/28

Abstract

In this study, we investigate the form of solutions, stability character and asymptotic behavior of the following rational difference equation x_n+1=(γ/(x_n(x_n-1+α)+\beta)), n=0,1,..., where the inital values x_-1 and x₀ and α, \beta and γ with γ are nonnegative real numbers. Its solutions are associated with generalized Tribonacci numbers.

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